The adj rigid has 5 senses (first 4 from tagged texts)
1. (5) rigid, stiff -- (incapable of or resistant to bending; "a rigid strip of metal"; "a table made of rigid plastic"; "a palace guardsman stiff as a poker"; "stiff hair"; "a stiff neck")
2. (2) rigid, strict -- (incapable of compromise or flexibility)
3. (2) inflexible, rigid, unbending -- (incapable of adapting or changing to meet circumstances; "a rigid disciplinarian"; "an inflexible law"; "an unbending will to dominate")
4. (1) fixed, set, rigid -- (fixed and unmoving; "with eyes set in a fixed glassy stare"; "his bearded face already has a set hollow look"- Connor Cruise O'Brien; "a face rigid with pain")
5. rigid -- (designating an airship or dirigible having a form maintained by a stiff unyielding frame or structure)